Static Arbitrage Bounds on Basket Option Prices
Mathematics arXiv Working Paper No. math.OC/0302243
19 Pages Posted: 12 Jul 2004
Date Written: February 19, 2003
Abstract
We consider the problem of computing upper and lower bounds on the price of a European basket call option, given prices on other similar baskets. Although this problem is very hard to solve exactly in the general case, we show that in some instances the upper and lower bounds can be computed via simple closed-form expressions, or linear programs. We also introduce an efficient linear programming relaxation of the general problem based on an integral transform interpretation of the call price function. We show that this relaxation is tight in some of the special cases examined before.
Keywords: Basket options, static arbitrage, linear programming
JEL Classification: C61, C63, G12
Suggested Citation: Suggested Citation
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